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Finding the Third Proportional to 158,412 and 329,928

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Solution

The third proportional to 158,412 and 329,928 is: 687,147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,412 : 329,928 = 329,928 : x
  2. Step 2: Convert to fraction form
    158,412/329,928 = 329,928/x
  3. Step 3: Cross multiply
    158,412x = 329,928 × 329,928
  4. Step 4: Simplify right side
    158,412x = 108,852,485,184
  5. Step 5: Solve for x
    x = 108,852,485,184/158,412
  6. Step 6: Final answer
    x = 687,147.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.